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Finding the Fourth Proportional to 293.97, 440.96 and 77.55

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Solution

The fourth proportional to 293.97, 440.96 and 77.55 is: 116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.97 : 440.96 = 77.55 : x
  2. Step 2: Convert to fraction form
    293.97/440.96 = 77.55/x
  3. Step 3: Cross multiply
    293.97x = 440.96 × 77.55
  4. Step 4: Simplify right side
    293.97x = 34,196.06
  5. Step 5: Solve for x
    x = 34,196.06/293.97
  6. Step 6: Final answer
    x = 116.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.